Transcript Section 13.4

Section 13.4
Differentials
Total Differentials
Uses for Differentials
1) To approximate the change in a function
value.
Evaluate f(1,2) and f(1.05, 2.1) and calculate the
change in z, z and then use the differential
dz to approximate z
Use in approximating error
A triangle is measured and two adjacent sides are
found to be 3 and 4 inches long, with an included
angle of  4 . The possible errors in
measurement are 1/16 inch for the sides and
0.02 radian for the angle. Approximate the
maximum possible error in the computation of the
area.